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Finding the Fourth Proportional to 221.92, 330.65 and 209.50

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Solution

The fourth proportional to 221.92, 330.65 and 209.50 is: 312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.92 : 330.65 = 209.50 : x
  2. Step 2: Convert to fraction form
    221.92/330.65 = 209.50/x
  3. Step 3: Cross multiply
    221.92x = 330.65 × 209.50
  4. Step 4: Simplify right side
    221.92x = 69,271.18
  5. Step 5: Solve for x
    x = 69,271.18/221.92
  6. Step 6: Final answer
    x = 312.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.